Answer:
3) x = 9, 125 degree
4) x = 5, 110 degree
Explanation:
In Q3 :-
Alternate Exterior Angles are Equal.
Therefore,
=> -1 + 14x = 12x + 17
= 14x - 12x = 17 + 1
= 2x = 18
=> x = 18/2 = 9
Therefore, x = 9
Now finding each angle :-
=> -1 + 14x
= -1 + 14(9)
= -1 + 126
= 125
=> 12x + 17
= 12(9) + 17
= 108 + 17
= 125
Hence, both are Equal.
In Q4 :-
Corresponding Angles are Equal.
Therefore,
=> 23x - 5 = 21x + 5
= 23x - 21x = 10
= 2x = 10
=> x = 10/2 = 5
Therefore, x = 5
Now finding each angle :-
=> 23x - 5
= 23(5) - 5
= 115 - 5
= 110
=> 21x + 5
= 21(5) + 5
= 105 + 5
= 110
Hence, both are Equal.